details

property	value
status	complete
benchmark	r10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n115.star.cs.uiowa.edu
space	Waldmann_06_relative

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	123.2 seconds
cpu usage	482.983
user time	477.06
system time	5.9237
max virtual memory	3.9935644E7
max residence set size	9043816.0

stage attributes

key	value
starexec-result	YES

output

482.71/123.14 YES 482.91/123.15 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 482.91/123.15 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 482.91/123.15 482.91/123.15 482.91/123.15 Termination of the given RelTRS could be proven: 482.91/123.15 482.91/123.15 (0) RelTRS 482.91/123.15 (1) RelTRSRRRProof [EQUIVALENT, 68.1 s] 482.91/123.15 (2) RelTRS 482.91/123.15 (3) RIsEmptyProof [EQUIVALENT, 0 ms] 482.91/123.15 (4) YES 482.91/123.15 482.91/123.15 482.91/123.15 ---------------------------------------- 482.91/123.15 482.91/123.15 (0) 482.91/123.15 Obligation: 482.91/123.15 Relative term rewrite system: 482.91/123.15 The relative TRS consists of the following R rules: 482.91/123.15 482.91/123.15 b(a(a(b(x1)))) -> a(a(a(a(x1)))) 482.91/123.15 a(b(b(a(x1)))) -> b(b(b(b(x1)))) 482.91/123.15 482.91/123.15 The relative TRS consists of the following S rules: 482.91/123.15 482.91/123.15 b(x1) -> b(b(b(x1))) 482.91/123.15 482.91/123.15 482.91/123.15 ---------------------------------------- 482.91/123.15 482.91/123.15 (1) RelTRSRRRProof (EQUIVALENT) 482.91/123.15 We used the following monotonic ordering for rule removal: 482.91/123.15 Matrix interpretation [MATRO] to (N^6, +, *, >=, >) : 482.91/123.15 482.91/123.15 <<< 482.91/123.15 POL(b(x_1)) = [[0], [0], [1], [0], [0], [0]] + [[1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0]] * x_1 482.91/123.15 >>> 482.91/123.15 482.91/123.15 <<< 482.91/123.15 POL(a(x_1)) = [[0], [0], [0], [0], [1], [0]] + [[1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0]] * x_1 482.91/123.15 >>> 482.91/123.15 482.91/123.15 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 482.91/123.15 Rules from R: 482.91/123.15 482.91/123.15 b(a(a(b(x1)))) -> a(a(a(a(x1)))) 482.91/123.15 a(b(b(a(x1)))) -> b(b(b(b(x1)))) 482.91/123.15 Rules from S: 482.91/123.15 none 482.91/123.15 482.91/123.15 482.91/123.15 482.91/123.15 482.91/123.15 ---------------------------------------- 482.91/123.15 482.91/123.15 (2) 482.91/123.15 Obligation: 482.91/123.15 Relative term rewrite system: 482.91/123.15 R is empty. 482.91/123.15 The relative TRS consists of the following S rules: 482.91/123.15 482.91/123.15 b(x1) -> b(b(b(x1))) 482.91/123.15 482.91/123.15 482.91/123.15 ---------------------------------------- 482.91/123.15 482.91/123.15 (3) RIsEmptyProof (EQUIVALENT) 482.91/123.15 The TRS R is empty. Hence, termination is trivially proven. 482.91/123.15 ---------------------------------------- 482.91/123.15 482.91/123.15 (4) 482.91/123.15 YES 482.91/123.20 EOF popout

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all output return to SRS_Relative 2019-03-29 08.12